Table of Contents

## Can 2 rectangles have the same area but different perimeters?

Remind students that the rectangles had the same area, but have different perimeters. We’ve been looking at two rectangles with the same area, and talking about the perimeter of those shapes. We found out that rectangles that have the same area don’t necessarily have the same perimeter.

## How many perimeters are in a rectangle?

To find the perimeter of a rectangle, add the lengths of the rectangle’s four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

**What is the perimeter of two rectangles?**

You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length. Both lengths of the rectangle are the same, and both widths are the same. For example, P = 2 * (14 + 8) = 2 * (22) = 44 centimeter (17.3 in).

**Which figure has lowest perimeter?**

Show that of all the rectangles of given area, square has the smallest perimeter.

### How do you find the area and perimeter of all shapes?

Area and Perimeter Formula

- Area and Perimeter Formula are the two major formulas for any given two-dimensional shape in Mathematics.
- Area of Square = a2, where a is the side of the square.
- Perimeter of a Rectangle = 2 (L+B) = 2 (6 cm + 4 cm) = 2 × 10 cm = 20 cm.
- Perimeter Formulas for different geometrical figures:

### How big is the perimeter of a rectangle?

Its perimeter is also 4. Now, consider a rectangle that’s 1,000,000 by 1/250,000. It has area = 4, but its perimeter is 2,000,000.00008. Make a rectangle skinny enough, and you can make its perimeter arbitrarily large which keeping the area constant.

**How to define same area, different perimeter in math?**

Math Focus Points Using tiles to find the area and perimeter of a rectangle Understanding that rectangles can have the same perimeter and different areas or the same area and different perimeters vocabulary session 2.5A same Area, different Perimeter; same Perimeter, different Areacc23

**How to calculate the area of a rectangle?**

Then count by 3s while pointing at each column to show that the area is 12 square inches. Challenge students who accurately complete the activity to use the color tiles to make shapes with given areas. For example, ask students to make rectangles with areas of 14 square inches, 9 square inches, and 20 square inches.

#### Can a square have the same perimeter as an ellipsis?

Yes. Take for example a square and an ellipsis with the same perimeter. The family of ellipses with the same perimeter can have any area between that of a circle to zero (if it is extremely “thin” i.e. if its eccentricity is large).